Question

A car is accelerating on a levelled plane and acquires a velocity $3$ times of its initial velocity. During this process, the potential energy of the car

• A. does not change
• B. becomes $1.5$ times that of initial potential energy
• C. becomes $3$ times that of initial potential energy
• D. becomes $9$ times that of initial potential energy

Answer 1

The correct option is A does not change

Change in potential energy of the car $\Delta U=mgh$

where $h$ is the vertical displacement of the car.

As the car is accelerating on a levelled road, thus its vertical displacement is zero i.e. $h=0$

$⟹$ $\Delta U=0$

Hence the potential energy of the car does not change.